A bag contains cards numbered from 1 to 14 one card is drawn at random find the probability of

a.) Selecting a prime number of a multiple of four

b.) selecting a multiple of two or a multiple of three

Answers

Answer 1

Answer:

One: P = 1/2 = 0.5

Two: P = 8/14 = 4/7 = 0.714

Step-by-step explanation:

One

I take it that the question is a prime number or 4.

P(four) = 1/14

The primes are 2,3,5,7,11,13. There are 6 of them

P(prime) = 6/14

P(prime or four) = 6/14 + 1/14 = 7/14 = 1/2

Two

Multiple of 2 := 2 4 6 8 10 12 14

Multiple of 3 :=  9 in addition to 6 and 12 which cannot be counted twice.

P(2 or 3) = 8/14 = 4/7 = 0.714


Related Questions

Identify the equation that describes the line in slope-intercept form.

slope =−2, point (−4,3) is on the line
answer choice
y = −2x + 5
y = −2x + 3
y = −2x + 11
y = −2x − 5

Answers

Answer y-2x+5 or it will be y=-2x+11

Step-by-step explanation:

Answer:

I have

Step-by-step explanation:

No idea i just need points sorry wyatt

HELP ME!!!!! Which choices are equivalent to the fraction below? CHECK ALL THAT APPLY.

Answers

Answer:

A and E

Step-by-step explanation:

9^3 / 9^3

Same number on top and bottom so 1 is an answer

look at the exponents, when dividing with exponents, you just subtract them, so it could also be 9^0, which is also 1

Answer:

A. 1 and E. 9^0

Step-by-step explanation:

9/9 = 1

You can check this by actually solving the problem:

9^3 = 9*9*9 = 729

So...

729/729 = 1

Also, any number to the power of zero is one, so 9^0 is also a correct answer

What is the value of the expression 1/2-(-1/3 + 2/5)?

Answers

Answer:

13/30

Step-by-step explanation:

Add: -1/

3

+ 2/

5

= -1 · 5/

3 · 5

+ 2 · 3/

5 · 3

= -5/

15

+ 6/

15

= -5 + 6/

15

= 1/

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - minus one third plus two fifths = one fifteenth.

Subtract: 1/

2

- the result of step No. 1 = 1/

2

- 1/

15

= 1 · 15/

2 · 15

- 1 · 2/

15 · 2

= 15/

30

- 2/

30

= 15 - 2/

30

= 13/

30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 15) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 15 = 30. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus one fifteenth = thirteen thirtieths.

If f(x)=-3x-2, find each value.
1. f(3)

Answers

Answer:

-11

Step-by-step explanation:

If F of x is 3, you would implement it into the equation. F(3)= -3(3)-2= -9-2= -11

WILL GIVE BRAINLIEST

Reuben is making a replica of the US flag for his school project.He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters. What is the Perimeter of the scale drawing?

What is the Perimeter of the actual flag?

Answers

Answer:

scale = 14.5 cm perimeter

actual = 29 inch perimeter

Step-by-step explanation:

To find the perimeter of the scale drawing, we can just add up the scale sides.

This would be 2.5 + 2.5 + 4.75 + 4.75 = 14.5 cm perimeter

For the real flag, we know that for each cm on the scale flag, it represents 1 inch on the actual flag.

2.5/.5 = 5 inch length

4.75 / .5 = 9.5 inch width

5 + 5 + 9.5 + 9.5 = 29 inch perimeter

Helpppppppppppppppppppppppppppp

Answers

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

10.5x - 1.9 = 19.1

Step 2: Solve for x

Add 1.9 to both sides:                    10.5x = 21Divide 10.5 on both sides:             x = 2

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                     10.5(2) - 1.9 = 19.1Multiply:                                21 - 1.9 = 19.1Subtract:                               19.1 = 19.1

Here we see that 19.1 does indeed equal 19.1.

∴ x = 2 is a solution to the equation.

What is the direct variation equation for the chart? Please show all of your work!
Х
y
8
2
16
4
24
6
32
8

Answers

Answer:

Hope it helps u

Step-by-step explanation:

y∝ x

y=k*x

k=y/x

now putt the first point x=8 and y=2

we get   k=2/8 =1/4

and also putt 2nd point ,

x=16,y=4 we get   k=1/4 and similarly for 3rd and 4th point we also get k=1/4

hence the direct variation , equation become for all is same, that is

y=(1/4)x

You buy 3.19 pounds of oranges​, 1.45 pounds of peaches​, and 1.88 pounds of apples. What is your total​ bill?

Answers

Answer i dont know the amount of the items

Step-by-step explanation:

give us the amount of them please

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

36

Step-by-step explanation:


What is the value of 1500 ÷ (62 + 4 ) · 37 ?

Answers

1.628 I think
62+4=66
1500/66x37
1500/2442
1.628

PLease help how do i solve this?!

Answers

Answer:  think its A because that little square box is a angle of a angle triangle.i won't get my answer right. cool

Step-by-step explanation: i can't explain this

free answers if u want

Answers

Answer:

Thank you so much!!!

Step-by-step explanation:

Answer:

thanks!!

Step-by-step explanation:

Please help me thanks please

Answers

Answer: V = 56.5486678 m3

there's the full answer.

you'd round it to 57

2/3(6b-12)
Please answer

Answers

Answer:

4b - 8

Step-by-step explanation:

2/3(6b - 12)

2/3 x 6 = 12/3 = 4

2/3 x 12 = 24/3 = 8

4b - 8

Simplify: 3(2a + b) - 5(a – 3b)

Answers

I think it’s a+18b
I’m not sure but hope it’s right

What is the value of -16?
A. -4
B. -4i
C. 4i
D. 4;2

Answers

Answer:

B

Step-by-step explanation:

Answer:I don't get what d means and what it means by value but choose a.

it makes the most sense,

Step-by-step explanation:

Use the​ slope-intercept form to graph the equation y=5/4x-1

Answers

Answer:

m = 5/4

(0,-1),(4/5,0)

Join the dots to obtain the graph!

Donald is the CEO of a company and earns three times as much as the combined salary of his two vice presidents, Susan and Kurt. If Susan earns s and Kurt earns k, then how much does Donald earn in terms of s and k?

Answers

Answer:

Donald earnings = 3(s + k)

Step-by-step explanation:

Susan earnings = s

Kurt earnings = k

Combined salary = s + k

Donald earns earns three times as much as the combined salary of his two vice presidents,

Donald earnings = 3(s + k)

= 3s + 3k

HELP QUICKLY!!
Tell whether the sequence is arithmetic. If it is, what is the common difference?
-19.-11, -3,5,...
Oyes; 5
Oyes; 6
Oyes; 8
Ono

Answers

Answer:

the answer to this sequence is that: u count the difference between 19 and 11 , which is 8.

again try to see if the difference is same between 11 and 3, which is again 8.

so the commin difference in this sequence is = 8

The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of the altitude by 1cm.Find the length of each side of the triangle​

Answers

Answer: a = 8;  b = 15;  c = 17

Step-by-step explanation:

c = b + 2  and c = 2a + 1

b = c − 2 and a =  [tex]\frac{c-1}{2}[/tex]

c² = b² + a²  

[tex]c^{2} = (c-2)^{2} + \frac{c-1}{2}\\[/tex]

[tex]c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}[/tex]

[tex]4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c[/tex]

[tex]4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c[/tex]

[tex]c^{2}-18c+17=0[/tex]

[tex]c(c -17)-1(c-17)=0[/tex]

​[tex](c -1)(c-17)=0[/tex]

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = [tex]\frac{17-1}{2} = 8[/tex]

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

[tex]a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\[/tex]

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

Simplify 4a^3b^2 x 3a*6b^5

Answers

Answer:

Step-by-step explanation:

(4a³b² )* (3a⁶b⁵) = 4*3 *a⁽³⁺⁶⁾ * b⁽²⁺⁵⁾

                         = 12a⁹b⁷

A line's slope is 1/5 the y-intercept is 5. What is the equation in slope-intercept form?

Answers

Answer: y = 1/5x+5

Step-by-step explanation: Slope intercept form is y = mx+b, where m is the slope, and b is the y intercept. Substitute accordingly.

The scores on a test given to all juniors in a school district are normally distributed with a mean of 73 and a standard deviation of 7. Find the percent of juniors whose score is below 66. The percent of juniors whose score is at or below 66 is

Answers

Answer:

The probability of juniors whose score is at or below =0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 0.1587 = 15 percentage

Step-by-step explanation:

Explanation:-

Given mean of the Population (μ) = 73

Given standard deviation of the Population(σ) = 7

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{66-73}{7} = -1[/tex]

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]

                = 1 - P( Z>Z₁ )

                = 1-( 0.5 +A( Z₁)

               = 0.5 - A(-1)

             = 0.5 - A(1)    (∵ A(-1) = A(1))

            = 0.5 - 0.3413

           = 0.1587

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]  = 0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 15 %

The minimum cost for an Uber ride is $9. A fee of $1.50 will be added for each additional mile. Write a piece wise function to model the situation

Answers

Answer: 9 + 1.50m

Step-by-step explanation:

From the question, we are informed that the minimum cost for an Uber ride is $9 and that a fee of $1.50 will be added for each additional mile.

A piece wise function to model the situation will be:

= 9 + 1.50m

where m = every additional mile

For example, if a person takes 4 additional miles, this will be calculated as:

= 9 + 1.50m

= 9 + 1.50(4)

= 9 + 6

= $15

Barb owes $40 interest on a loan of $2000 , if the money was borrowed for 1 year , what's the simple interest rate

Answers

Answer: 2%

Step-by-step explanation:

As the loan was only for a year at simple interest, find out how much of $2,000, $40 is:

= 40/2,000

= 2%

Graph y = -3/2x - 3.

Answers

Slope of -3/2

Y intercept~ (0,-3).
Hope this helps

PLEASE HELP,, MARKING BRAINLIEST!!!

Given coordinates N(-1,-11) and P(-1,-3), find NP?

Answers

Answer:

its 8 units long

Step-by-step explanation:

since x is the same we dont have to do much since its a straight line up and down

find the difference in the ys

-11 - -3 = -8

8 units long

hope this helps <3

Find the total surface area of this cuboid.

Answers

Answer:

120cm

Step-by-step explanation:

it 120 cm because of length×with×hight

A serving of ice cream contains 6400 calories. 1600 calories come from fat.
What percent of the total calories come from fat?

Answers

Answer:

25%

Step-by-step explanation:

6400/1600=4

1/4= 25%

Is a decorative block , made up of two solids -a cube and a hemisphere. The base of the block is a cube of side 6cm and the hemisphere fixed on the top has a diameter of 4cm. Find the total surface area of the block(use ⫪ = 3.14) *

Answers

Answer:

The surface area of the decorative block is 253.68 cm²

Step-by-step explanation:

The decorative block is a composite figure comprising of the following parts;

1) A solid cube with side length, S = 6 cm

2) A hemisphere with diameter, D =  4 cm

The surface area of the decorative block = The surface area of the solid cube + The surface area of the hemisphere

The surface area of the components of the decorative block are as follows;

The surface area of the solid cube = 6 × S² = 6 × (6 cm)² = 216 cm²

The surface area of the hemisphere = π·D²/4 + π·D²/2

∴ The surface area of the hemisphere = 3.14 × (4 cm)²/4 + 3.14 × (4 cm)²/2 = 37.68 cm²

∴ The surface area of the decorative block = 216 cm² + 37.68 cm² = 253.68 cm².

Other Questions
plz help!If you set up a timeline and labeled the intervals, would this set of intervals be appropriate to show the major events in your life?1 CE 500 CE 1000 CE 1500 CE 2000 CE 2500 CEExplain your answer in complete sentences. (Answer the how do you know? question.) How can the reader tell that The Real Princessis a fairytale?A.It involves a prince and princess who do not have namesB.It tells a story of a man who wants to find a wifeC.The events of the story took place a long time agoD.The main characters mother gets involved in the events Is Na2SO4 ionic or covalent PLEASE HELPWhat do you know about valence electrons? * Select all the expressions whose value is larger than 100.A 120% of 10050% of 150C250% of 5020% of 800E 200% of 30G 19 of 1,000 Please help me answer truth or false for questions Which relationship is an example of a proportional relationship?helppp? Question 7 Mai wants to construct a regular hexagon inscribed in thecircle centered at C. Will these instructions work to finish the hexagonfrom the construction given? Why? Step 1 Draw the circle centered at Dwith radius CD. Step 2 Mark the intersection of the circle with the circlecentered at C, and label that point E. Step 3 Draw the circle centered at Ewith radius DE. Step 4 Mark the intersection of the circle with the circlecentered at D, and label that point F. Step 5 Connect ABCDEF to make aregular hexagon. Mia, Thomas, and Jasmine are competing in a barrel race. Thomas's time is 8 seconds more than Mia's time. Jasmine's time is times the quantity of 21 seconds more than Mia's time. The sum of all three times is 71 seconds. what represents this situation and what is the value of m What is 12ab+6abPlease If sin x= 1/2 and cos x= 3/2, the measure of angle x is equivalent to: helpp 20 pointsCal and his son watched as the playershot the puck into the net. They werewatching __ helpppp !preston can paint 375 square feet in 3 hours . at the same rate how long would it take him to paint 812.5 square feet ?a ; 0.15 hoursb ; 1.4 hoursc ; 7.5 hoursd ; 6.5 hours Can u help me plsThis homework was due last weekI really need helpthx xxx visit a famous women in your community. Ask her a question how she was able to attend school and a struggle she made for education. Prepare a poster of her life story. Helen drives 195 miles in 3 hours A) what is her average speed in mph Find the value of x. Show your work congruent triangles Which choice is equivalent to the expression below?2^7.19 Factor completely. 3x2 + 8x + 5 the cost for a company to produce a part for d days is represented by the function f(d)=275d+12,950 what does the value 12,950 represent in this situation? A.) Each day the total cost increases by $12,950B.) The initial cost is $12,950C.) Each day the total cost decreases by $12,950D.) The total cost to produce a part for d days is $12,950